Countersuit rhymes with:
jumpsuit, lawsuit, pantsuit, spacesuit, sweatsuit, swimsuit, wetsuit, absolute, arrowroot, attribute, bandicoot, bitterroot, breadfruit, constitute, convolute, crapshoot, destitute, electrocute, execute, grapefruit, institute, jumpsuit, lawsuit, malamute, offshoot, overshoot, pantsuit, parachute, persecute, prosecute, prostitute, reconstitute, resolute, restitute, spacesuit, substitute, sweatsuit, swimsuit, telecommute, wetsuit, wintermute
Countersuit sounds like:
centrist, centrust, contract, contracted, contrast, contrasted, counteract, counteracted, countersued, counterweight, countryside