A few more snippets having looked at near service numbers and having taken advice from them as knows!
He was almost certainly, given his enlistment date and looking at other enlistments, a Derby Scheme man, enlisting in the DCLI in Dec 1915 and then waiting to be called forward for overseas service.
Most likely to have gone with a draft to France in early 1917 first to an Infantry Base Depot and then, probably in about July 1917, sent not to 10 DCLI but as reinforcements to 2 R Irish in readiness for operations in mid August. This change of regiment on the way was common, reinforcements were sent where needed as the operations demanded. The time between enlistment and deployment overseas was also not unusual.
The pension place of residence would seem to link with the Joseph J Cooze of Bridgwater, son of Henry and Mary born 1882 - is that who you are looking for?
MaxD