The crossword solutions for the term LIKE AN ENTHUSIASTIC FAN are 'AVOID' and 'AVID'. The word 'AVOID' is a verb meaning to stay away from or keep away from something. It can also mean to not do something. The word 'AVID' is an adjective meaning having or showing great enthusiasm or eagerness. It can also mean having a strong desire or interest in something. Therefore, the phrase LIKE AN ENTHUSIASTIC FAN can be interpreted as staying away from something while still having a strong desire or interest in it.