In reply to Roberttaylor:
That was my first thought too. One of my Swedish friends works off shore on a rig. He does 6 weeks on 6 weeks off. At the end of every stint on the rig he gets an open return ticket to anywhere in the world. So with his job, you could essentially spend half the year climbing exotic locations. Would be long enough to do big adventures or just hang out at he crags. You'd also have plenty of cash and could live extremely comfortably. And buy all the gear you can dream of!
But the down side is you'd spend the other half of the year on a rig...I suppose you could build a woodie somewhere to keep fit.
So one option is to work hard, play hard. The other option is to dirt bag it cheap and spend the whole year climbing. The TEFL gig is not a bad one (I did it in Thailand whilst dirt bag climbing) the difficulty is you get a wage to live on but certainly not save. So you struggle to bank roll cash to move anywhere else. It can be quite stressful living close to broke but you get a lot of climbing done. The same could easily be done in Europe too.
Another option for the work hard/play hard choice is contract trades. A guy i climbed with worked as a carptener. He'd live like a monk and work a contract on a build. When complete , he travel he world climbing till he ran out of cash, with his last few monies he'd catch a plane home and pick up another building contract, rinse repeat. Works very well but you need to have some good contacts/mates in the know.
My ultimate advice would be don't do a "climbing job" like guiding or rope access. Just because your near climbing, doesn't mean your doing it! I found that if anything it just sucks the joy out.
So two choices: be poor and climb a lot but limited movement
Or be wealthy and with no permanent ties and find a job where you work hard and then take extensive breaks holidaying
Both routes probably afford you similar amounts of climbing with different stress balances. Good luck, live the dream