Face the possibility of being laid up (4)
I believe the answer is:
dial
'face the possibility' is the definition.
'dial' can be an answer for 'face' (face of a clock). I am not certain of the 'the possibility' bit.
'laid up' is the wordplay.
'up' is a reversal indicator (in down clue: letters go upwards).
'laid' back-to-front is 'DIAL'.
'of being' is the link.
(Other definitions for dial that I've seen before include "feature of old phone?" , "Meter face" , "Select a telephone number" , "Laid up like clock-face" , "Indicator" .)