I like it. Timothy still seems reasonably popular, though less so than it has been. I think everyone knows at least a couple of Tims. There were two in my graduating class that I remember.
I definitely don't like Timmy, though; it's the go-to little=brat name.
Before you criticize a man, walk a mile in his shoes. That way, when you criticize him, you're a mile away and you have his shoes!
Steve Martin