Use ranged poke and (Q) blind to pressure Rumble and deny his short-range trades.
Control side-lane paths with (R) traps to limit Rumble's all-in and zone control potential.
This is a control vs snowball matchup where Teemo must maintain lane pressure and avoid giving Rumble easy all-in windows.
Trading pattern
Trade short bursts using (Q) blind to negate Rumble's auto damage and back off before his heat management powers up.
Avoid extended trades when (Q) danger zone is active and (E) slow is available.
Punish Rumble after he overheats or misses (E) charges by stepping forward with poison autos and trap control.
Danger windows
Be cautious when Rumble's heat is in the danger zone and (Q) is active, as his damage and zone control peak.
Respect the slow from (E) that enables Rumble to keep you in range for (Q) damage.
Avoid standing in or near (R) zone, which can cut off retreat paths and force lethal trades.
Early game
Start by poking with poison autos and save (Q) to blind Rumble's key retaliatory autos.
Use (W) to reposition and avoid getting caught by (E) slows or Rumble's short-range (Q) damage.
Establish trap coverage early in brushes and retreat paths to punish Rumble's limited mobility and gank paths.
Power spikes
At level 6, place (R) traps to control side lanes and punish Rumble's limited escape options.
After your first damage item, increase poke pressure with stronger poison autos and blind timing.
Respect Rumble's level 6 (R) zone control and his first AP item spike that makes his short trades more lethal; play around these by maintaining distance and trap coverage.
Win conditions
Win by consistently poking with poison autos and using (Q) to blind and deny Rumble's auto trades.
Control side-lane and river paths with (R) traps to limit Rumble's mobility and gank safety.
Deny Rumble's all-in windows by punishing cooldowns on (E) and overheats, maintaining lane pressure to prevent his snowball.
Tip: For Teemo vs Rumble, read overview, trading pattern, and danger windows first for a fast Top lane check.