All but one of team in Lord's practice session succeeding? (4)
I believe the answer is:
next
'succeeding?' is the definition.
('next' can be a synonym of 'succeeding')
I don't understand the remainder of the clue.
(Other definitions for next that I've seen before include "Coming nearest in order - come, please!" , "Nearest following" , "shop" , "Proximate" , "The one following or adjacent" .)