Many to choose from
The fact that you don't have to come up with them yourself is another big bonus, of course. So if you find a good source of such quotes and tweet them from time it's a very good way of keeping your stream flowing.
For these reasons it's not surprising that quite a high proportion of really popular and influential Twitter users employ this tactic. When you're getting established on the site yourself, these are obviously good people to follow and make yourself known to. So here's a way to use their reliance on wisdom quotes to your own advantage:
Good to retweet and engage with
Wait until you see a quote that you like and retweet it to show your appreciation. Then reply to the user who sent it, adding a complementary observation of your own. You could also add a bit of humour. That always goes down well on Twitter.
You could also try the controversial approach and disagree with it, saying why. This probably won't offend the user because it's not his own original thought. So the chances of it putting him offside are not great.
A quick, effective tactic
This is a good tactic because it's quick. It's not like responding to an article or blog post that the user links to because they always take a bit of time to read.
Needless to say, they will appreciate the retweet. And the follow up reply will make you stand out some more. Sometimes they'll follow you if they haven't already. Or they'll reply to your tweet about the quote or retweet it, thereby exposing your handle to many more people.