Very short notice given to a girl
I believe the answer is:
ada
'a girl' is the definition.
'very short notice given' is the wordplay.
'very' becomes 'ad' (I can't justify this - if you can you should believe this answer much more).
'short' means to remove the last letter.
'notice' becomes 'ad' (both can mean an advertisement).
'given' is a charade indicator (letters next to each other).
'ad' with its last letter taken away is 'a'.
'ad'+'a'='ADA'
'to' is the link.
Can you help me to learn more?
(Other definitions for ada that I've seen before include "- Lovelace, Byron's daughter & computer pioneer" , "Palindromic girl's name" , "Novel by Vladimir Nabokov" , "Woman" , "Girl's name, one letter short of a man's name" .)