I usually try not to chase the flush on ring games but kinda play for a str8 with suited cards. Or two pair full house-flush draw, or 1 pair str8 and or flush draw. Once in a while you will get lucky. I raised preflop with a10 suited on bodogs 10 cnt ring, and hit the back door flush. I was raising each street as if I had a big pair and got lucky on the river. BUT only one time I did this. With a caller behind me.
If I'm feeling frisky or I have a big stack I will chase tho--- especially with big cards, or a pair.