Here on the Green somewhere near Lewisham (6)
I believe the answer is:
hither
'here' is the definition.
(synonyms)
'on the green somewhere near lewisham' is the wordplay.
'on' is an insertion indicator (as in clothing 'on' a person).
'green somewhere near lewisham' becomes 'hir' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'the' placed within 'hir' is 'HITHER'.
Can you help me to learn more?
(Other definitions for hither that I've seen before include "Towards this place - not yonder" , "Here (arch)" , "In this direction" , "all over the place - 13a,25a,16d,15d" , "To this place of old" .)