Don't let them see you jump when strait-laced (9)

I believe the answer is:
hidebound
'strait-laced' is the definition.
(thesaurus)
'don't let them see you jump when' is the wordplay.
I cannot really see how this works, but
'you' could be 'u' (commonly used in online communication) and 'u' is present in the answer.
'when' could be 'on' (I've seen this in other clues) and 'on' is found within the leftover letters.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for hidebound that I've seen before include "Splash (with liquid)" , "Restricted by petty rules" , "Narrow-minded - ultra-conservative" , "very conservative" , "Restricted by conventional ideas" .)
