Shocked look is what Betty and Scott have, stripped naked (6,4)
I believe the answer is:
double take
'shocked look is what betty' is the definition.
I can't judge whether this definition defines the answer.
'scott have stripped naked' is the wordplay.
'scott have' becomes 'doublet' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'stripped' says to take the centre.
The middle letters of 'naked' are 'ake'.
'doublet'+'ake'='DOUBLE TAKE'
'and' is the link.
Can you help me to learn more?
(Other definitions for double take that I've seen before include "Second reaction to the unexpected" , "Delayed action" .)