Disable (silence/stun/knock-up) or standing on the lantern will prevent the enemy from clicking on the lantern.
A tank should try to break the box so that his allies can leave the box without being slowed.
All of Thresh’s abilities have a long cooldown. Try to take advantage of the situation if he misses a couple abilities.
Thresh is very susceptible to poke while his Death Sentence(Q) is down.
Thresh is great at chasing when there are no minions to block his hook. If you are running from Thresh, try to anticipate where he will hook and dodge when he does. If he misses his hook the chase if over.