Not an all-American name for a girl (5)
I believe the answer is:
erica
'girl' is the definition.
(I've seen this before)
'not an' is the wordplay.
'not' becomes 'eric' (I can't justify this - if you can you should give a lot more credence to this answer).
'an' becomes 'a'.
'eric'+'a'='ERICA'
'all-american name for a' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for erica that I've seen before include "Woman" , "Heath genus; girl's name" , "Plant of the heath genus" , "found on the moors" , "Shrubs" .)