Pistol round is cherished by Mike (7)
I believe the answer is:
sidearm
'pistol' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.
'round is cherished by mike' is the wordplay.
'round' shows that the letters should be reversed in order.
'cherished' becomes 'dear' (dear can mean cherished or adored).
'by' means one lot of letters go next to another.
'mike' becomes 'M' (phonetic alphabet: alpha, bravo, charlie etc.).
'is' backwards is 'si'.
'si'+'dear'+'m'='SIDEARM'
Can you help me to learn more?
(Other definitions for sidearm that I've seen before include "weapon" , "Piece" , "One may be fired" , "Officer may carry this" .)