This is my first pair of climbing shoes which I use for indoor bouldering. I’m very happy with them, but noticed a small tear on the rand, wondering what the best course of action is, I’ve only had them for 3 months.
My suggestion is to stop climbing on these shoes and send them in for a resole. It's probably going to take a while, so get a second pair of shoes to climb on while they're getting resoled.
These Tenaya Iati are great shoes and pretty expensive, so I wouldn't just climb with them until they're totally destroyed (which they will be soon if you keep using them). If you resole them, you can get more life out of them.
In the future, look at the soles of your shoes frequently and resole them when the rubber near the big toe is getting thin. Climbing tends to put the wear mostly near the big toe, you may have plenty of rubber left everywhere else, but wear a hole near your big toe.