Before your inner Gil takes over, I would like to point out that Hardwood Fences last for a little over 5 years, and Gates last for 3.5 years. So if you are going to try, make sure you test with Wood Fences. But even those last for two whole seasons, so be prepared to hibernate.
But in my opinion, fences aren't worth it until you can get Hardwood, which for me is typically late Spring/early Summer. Five years down the road it will be Spring Year 6, and that Golden Clock will be mine, all mine. My longest standing save is at the end of Year 4, so even if I didn't have fence-fixer Maru and a Golden Clock to help me out, my Gates would have just started breaking.
And those Hardwood Fences from Spring Year 1 still have another year of life in them.