Like this apron, wrapped around singer (7)
I believe the answer is:
soprano
'singer' is the definition.
(type of singing voice)
'like this apron wrapped around' is the wordplay.
'like this' becomes 'so' ('like so').
'wrapped around' indicates anagramming the letters.
'apron' with letters rearranged gives 'prano'.
'so'+'prano'='SOPRANO'
(Other definitions for soprano that I've seen before include "High singing voice" , "chorus girl, perhaps" , "(Singer of) the highest vocal range" , "Female singing voice" , "Singer who aims high" .)