Grow weary is a phrase that describes the feeling of becoming tired or exhausted. The crossword solutions for this phrase are TIRE, FLAG, and SAG. TIRE is a four-letter word that means to become exhausted or fatigued. FLAG is also a four-letter word that means to become weaker or less enthusiastic. SAG is a three-letter word that means to droop or become limp. All of these words describe the feeling of growing weary.