I had some gorgeous thymes in my garden last year, but we had the whole garden on a drip hose to water it, and the thymes got overwatered and died a horrible death.

Or so I thought! As soon as the weather got warm, they started to put out new growth. But the new growth is all way, way out on the tips of these very long, completely bare, dead-looking fronds.

Should I just cut the whole plant back and see if it can put out some new growth closer to the root? I hate to cut off the new growth, but the long bare bits really looks terrible.