Does lil have an apostrophe

Yes, the contracted form of "little" (conversational or as a name) is "Li'l", apostrophe between the I and the second L. E.g. " Li'l Abner ", long running 20th Century comic strip (and movies, 1940 and 1959) NOTE : the black female rap artist Kimberly Denise Jones (born 7/11/1975) uses a non-standard form for her professional name, apostrophe after the entire LIL : "Lil' Kim " (also previously used the identifying pseudonym "K.I.M.")