Style of singing that could give you a carol tour (10)
I believe the answer is:
coloratura
'style of singing' is the definition.
'coloratura' can be an answer for 'singing' (coloratura is a kind of singing). I'm unsure of the 'style of' bit.
'could give you a carol tour' is the wordplay.
'could give you' indicates anagramming the letters (the same letters can give another word).
'a'+'carol'+'tour'='acaroltour'
'acaroltour' anagrammed gives 'COLORATURA'.
'that' is the link.
Can you help me to learn more?
(Other definitions for coloratura that I've seen before include "Melba's speciality" , "Noted embellishments" , "Elaborate vocal ornamentation" , "singer" , "embellished in bars" .)