Yes, it's a Hydrangea anomala subsp. petiolaris aka climbing hydrangea.
Yours doesn't look particularly out of control.
You may clip out several branches on a right growing toward the house and that's all you need to do at this point.
Regarding the blooms.
It will bloom in its due time and nothing you could do to encourade it or speed up the process. Keep in mind that this particular type of hydrangeas may take 4 to 7 years before it will be mature enough to bloom, so patience is required. Judging by the size, yours is 2-3 y.o. the most.

Yes, that is a climbing hydrangea. I have one that is about 7 years old. I cut back any branches that are in the way of the door or walkway. Mine is getting very large but it took about 4 years to get even 1 bloom. This year I count about 10 buds.

It is a lovely plant and stays nice all year. Even the winter bark is interesting.

i have three climbing hydrangeas, all purcahsed at the same time. only 1 has never been moved from its original location. it is in full sun and is climbing up my chimney. after four years it has reached the top of the second story. i hope it jumps the eaves (and doesn't go through it) and continues up the chimney. it bloomed very early on for me, perhaps the second year.

the other two hydranges are quite small. they are in full shade. one has been moved three times and really did not like that. i thought i might lose it but this year it looks healthy, although is the smallest of the three and that is fine as it is growing on a frame that holds a "porch" swing. it has not yet flowered.

the third has been moved twice. it is probably about 6-7 feet tall. i have it growing on a chain link fence, which may not be a good idea and i may have to move it yet again. it flowered this year.

climbing hydrangeas get very large and heavy. you may want to move it off that woode fence.

Hi - just reporting on my H petiolaris planted in mid-Sept '06 with the hopes of covering up a utilitarian/ugh looking 4ft highx37ft long, retaining wall ... noting all warnings on the yrs of patient wait required, not to mention the Winter assaults that it may encounter over the yrs (like last year's, Apr killing freeze). I went ahead, guided by Chelone's H petiolaris tutorial - '06 thread! This past Winter I decided to use a few feet of landscaping fab just for wind barrier as it didn't show much growth after the said Apr '07 freeze assault.

Today she is so full and bursting so prettily in her tiny heart-shaped Spring outfit - she seemed to have come out of her shy start and as Dirr described "she then rockets skyward, never looking back as she climbs and clambers over" ... with fingers crossed, I hope so, for I just found 6 little broccoli floret-like clusters (qtr-half$ size) on a few tips of crawling limbs!!! :-)

Best wishes to all who own this "Crowned Queen of the Twining World"! Search for the 2006 thread in this forum - worth reading & lots of photos too, courtesy of Chelone!

Hi Smiles3177 - I was looking at the photos of your Climbing H above & can't help but admire her size & beauty! I wonder about her sun exposure?

The thickness of my main woods seem thinner (about the size of my ring finger) and the expanse of her (N & S) lateral reaches seem shorter than the upward climb of yours, altho mine is quite thickly leafed out. Perhaps an advantage of her full sun exposure.

I checked the 2006 clippings, I saved from this forum, when like you, I needed help about mine ... Ego45 posted that in full sun H petiolaris aka climbing H may grow even slower but could bloom sooner! He is just on the mark (thanks Ego)! It was such a thrilling surprise to find those 6 little broccoli looking buds on some of the young fully leafed out limb tips, crawling on my retaining wall!

2 years ago I read all the feed backs from others about this beautiful climber. I have the patience required but feared the # of years of wait, before I will be rewarded with even a single bloom ... I'm 70y/o and could be in a nursing home by the time the blooms show up! LOL! So you can see why I'm so thrilled!!!

I hope yours will surprise you as well - Best wishes!!! :-)))

I live in Central London, and my climbing hydrangea is growing in a large pot on a roof terrace...I bought it from a garden centre last year and it flowered that year..It is about 3ft hign now and is just coming into flower I have about 20 florettes?? on it... I read a saying about climbing Hydrangeas it said.."It sleeps, it creeps, and it leaps...presumably this refers to the 1st 2nd and 3rd year..so don't give up hope