Have a craving (for) is a phrase used to describe a strong desire for something. The crossword solutions for this phrase are THIRST (6 letters), YEARN (5 letters), and WANT (4 letters). THIRST is a strong feeling of needing to drink something, while YEARN is a strong feeling of longing or wanting something. WANT is a feeling of desiring something. All three words can be used to describe the same feeling of having a craving for something.