One wandering right across (5)
I believe the answer is:
rover
'one wandering' is the definition.
The answer is a person as well as being a singular noun. This is suggested by the definition.
'right across' is the wordplay.
'right' becomes 'r' (common abbreviation).
'across' becomes 'over' (synonyms).
'r'+'over'='ROVER'
Can you help me to learn more?
(Other definitions for rover that I've seen before include "Person given to wandering" , "Vehicle driven remotely over extraterrestrial terrain" , "Old scout" , "A vagrant" , "one in Bristol, one in Doncaster, perhaps" .)