I'm an American in the UK, so technically I do 'live abroad', but as a pp says it's very different to, say, living in Qatar as an American, which is what my mom is doing.
For me, I cracked on with normal life there were cultural differences, and for a long time I was the token American friend with outrageous frankness but now I've assimilated.
For my mom, she'll never be Qatari. She has Qatari friends, though, and the expat community is really tight-knit. They seem to look after each other, but there's also kind of a culty closeness. It's like living in a small town, even in the capital, because your social circle is so limited.
I would recommend living abroad to everyone. For me, I would never know yourself or what I'm capable of if I hadn't traveled alone and pushed myself to make a home somewhere new. Others couldn't imagine it, I'm sure. Different strokes!