The term 'Did the Butterfly' is a phrase that refers to the movement of a butterfly. The four crossword solutions for this term are SWAM, SWUM, MOTH, and FLIT. SWAM is a verb meaning to move through water by using one's limbs, while SWUM is a variant of the same verb. MOTH is a type of insect that is closely related to butterflies, and FLIT is a verb meaning to move quickly and lightly. Together, these words describe the graceful and quick movements of a butterfly.