Get engaged in game show (4)
I believe the answer is:
mesh
'get engaged' is the definition.
(to mesh is to become engaged or joined)
'in game show' is the wordplay.
'in' indicates the answer is hidden within the clue.
'MESH' can be found hidden inside 'game show'.
(Other definitions for mesh that I've seen before include "Trap" , "Net fabric" , "Work well together" , "Lattice" , "Knit or weave for Shem" .)