A little one's name (3)
I believe the answer is:
leo
'a little one's name' is the definition.
'Leo' can be an answer for 'name'. I am not sure about the 'a little one's' bit.
'little one's name' is the wordplay.
'little' means to remove the last letter (the word is not quite complete).
'one' becomes 'li' (I've seen this in other clues).
'name' becomes 'eo' (I can't explain this - if you can you should believe this answer much more).
'li' with its final letter taken away is 'l'.
'l'+'eo'='LEO'
Can you help me to learn more?
(Other definitions for leo that I've seen before include "certain stars" , "5th sign of the zodiac" , "Fifth sign of the zodiac" , "Lion constellation" , "of pride" .)