Treat the enemy minion wave as two different problems: it blocks Bandage Toss on the way in, but once you are already attached it can speed up E, so some of Amumu’s best all-ins start by respecting the wave and end by brawling inside it
Amumu support is a latch support, so he looks best with teammates who instantly dump damage into one caught target; the recent pair data lines up much better with commit-heavy or magic-dump lanes like Miss Fortune, Samira, and Karthus than with duos that want to keep the fight at arm’s length
Judge the engage by the second Q, not the first: level 6 with Flash gives Amumu a real Flash-R one-target lock pattern, and the follow-up Bandage Toss is what keeps the catch glued down after the enemy spends their escape
Start with the target whose movement makes the fight hard for your team: the carry stepping forward without Flash, the diver about to hit your backline, or the skirmisher who can still escape if you do not pin them immediately. In most games, that is a one-target decision, not a hunt for a bigger ult. If you can Flash-R that champion and still keep a Q charge to follow their escape, take it. The only time to pass on that is when the frontline is the only body you can actually stick to and your team needs you to stop the engage there instead of reaching deeper.
Amumu's basic attacks Curse his enemies, causing them to take bonus true damage from incoming magic damage.
Amumu tosses a sticky bandage at a target, stunning and damaging the target while he pulls himself to them.
Overcome by anguish, nearby enemies lose a percentage of their maximum Health each second and have their Curses refreshed.
Permanently reduces the physical damage Amumu would take. Amumu can unleash his rage, dealing damage to surrounding enemies. Each time Amumu is hit, the cooldown on Tantrum is reduced.
Amumu entangles surrounding enemy units in bandages, applying his Curse, damaging and stunning them.