The term 'fine points' refers to the small DETAILS that are important in a particular situation. The crossword solutions for this term are 'DETAILS' (7 letters), 'PRONGS' (6 letters), 'det' (3 letters), and 'NICETIES' (8 letters). DETAILS refer to the specifics of a situation, while PRONGS are pointed projections used to hold or secure something. Det is an abbreviation for the word 'DETAIL', and NICETIES are small courtesies or polite expressions. All of these words can be used to describe the fine points of a situation.