Measurement of popularity of sailors (7)
I believe the answer is:
ratings
'sailors' is the definition.
(British term for naval enlisted men)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for ratings that I've seen before include "chased by TV companies?" , "Staring at classifications" , "sought by broadcasters?" , "Appraisals of the value of" , "TV producers often chase" .)