Song in right order, it delights cowboys (5)
I believe the answer is:
rodeo
'it delights cowboys' is the definition.
The definition suggests a singular noun which matches the answer.
'song in right order' is the wordplay.
'song' becomes 'ode'.
'in' indicates putting letters inside.
'right' becomes 'R' (common abbreviation).
'order' becomes 'o' (abbreviation e.g. in British honours OM, OBE etc.).
'r'+'o'='ro'
'ode' put within 'ro' is 'RODEO'.
Can you help me to learn more?
(Other definitions for rodeo that I've seen before include "Western show" , "Cowboy riding contest" , "Horse sporting event for cowboys" , "show with mounting excitement" , "Cattle round-up" .)