(verb)
to breathe loudly, heavily, and with difficulty, often with a rattling or whistling sound in one's chest, or to move while making such a sound;
e.g. Her illness caused her to wheeze and cough anytime she tried to move.
(verb)
broadly, to make an irregular spluttering sound, similar to rattling or whistling;
e.g. The car's engine started to wheeze and make strange sounds.
(noun)
a rattling or whistling sound in someone's chest, typically accompanied by difficulty breathing;
e.g. The doctor heard a wheeze in his chest, so she wanted to perform some more tests.
(noun)
(informal American) a joke, trick, act/routine, or story that is widely known and used/repeated, especially by entertainers in comedy;
e.g. He opened his comedy routine with an old wheeze that didn't make anyone laugh.