One of those cheapo round tomato cages will work to get you started, then you have more time to figure out how to train them onto the fence after they reach the top of the cage.

Grew lemon cukes in a fifteen gallon grow bag last summer with three bamboo stakes stuck into the bag with bamboo cross pieces. We have a little bamboo forest here so its free but anything similiar would work fine.

Hijacking thread: davidinct - how did the lemon cukes grow? I'm planting them for the first time this year. Did you plant them in hills, get a decent crop? I built a slanted trellis on account of sun issues, with horizontal bars - should I add some string or twine to help the plants "cling" during early growth?

John

Just note that your cuke vines are likely to go down the other side of that fence and most of the fruit will grow there. Do you plan to share them with your neighbor (if that's someone else's back yard)? :-)

It looks like you have four plants in that container. To avoid a concentrated vine "spillage" over the other side of the fence, I think I'd move the container farther away from the fence and make a teepee arrangement of some sort to support the vines.

Below is a very simple kind of string trellis that might work for your setup if you can find 3 or 4 tall stakes to surround your container.

Here is a link that might be useful: String Cucumber Trellis

go to a home center and purchase a 48"x96" piece of concrete reinforcing mesh, bend it into a cylinder and hold together with tie wraps or just the end pieces of the mesh. It will cost about 9 bucks and will last forever.
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I bought a cheap wooden trellis at Lowes for my cucumbers- it's about 4ft wide by 3ft tall and it was under $10 (I think it was $7)... I can't think of anything cheap AND easier then that :)

Use fish line on that fence it works great.
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Thanks everyone for the responses. I see alot of good ideas here. I am still mulling over which one to go with. Angie I can't see your pictures yet since I am at work and they block photobucket :(. I will check it out once I get home.

Although there are four plants in the picture, I will be thinning it out to one or two plants before long.

Thanks again for all the great ideas. Once I get something set up I will post a pic.
John