The term 'palm fruit' refers to a variety of fruits that grow on palm trees. The crossword solutions for this term are 'DATE' (4 letters), 'acai' (4 letters), 'COCONUT' (7 letters), and 'DATES' (5 letters). DATE is a type of sweet, edible fruit that grows on the DATE palm tree. Acai is a dark purple berry that is native to Central and South America and is often used in smoothies and other health foods. COCONUT is a large, brown, fibrous fruit that grows on the COCONUT palm tree. DATES are a type of dried fruit that is derived from the DATE palm tree.