When I started around age 11 my dad let me practice on his homemade strat and I ended up quitting after a few weeks. Around 13 I told him I wanted to play again, so I guess he thought I would quit again. He gave me his les paul custom (gave, not borrow or use) and probably thought in a few weeks he would get it back. Sorry dad, still got it 17 years later.
Just my little anecdote. I feel like me owning a decent guitar of my own really made me want to progress, and I took the greatest care of that thing. I put a few small dents in the headstock, but I basically babied it.