We found one dictionary that defines the word move from side to side:

Phrases: to move unsteadily from side to side, move steadily from side to side, more... ▸ Words similar to move from side to side ▸ Usage examples for move from side to side ▸ Idioms related to move from side to side ▸ Wikipedia articles (New!) ▸ Words that often appear near move from side to side ▸ Rhymes of move from side to side ▸ Invented words related to move from side to side