Little girl gets second testimonial to give out (10)
I believe the answer is:
distribute
'give out' is the definition.
('distribute' can be a synonym of 'give out')
'little girl gets second testimonial' is the wordplay.
'little girl' becomes 'di' (short for Diane, Diana etc).
'gets' is a charade indicator (letters next to each other).
'second' becomes 's' (common abbreviation).
'testimonial' becomes 'tribute' ('tribute' can be a synonym of 'testimonial').
'di'+'s'+'tribute'='DISTRIBUTE'
'to' acts as a link.
(Other definitions for distribute that I've seen before include "Deal out" , "Supply" , "Pass round" , "Hand or share out" , "spread" .)