... like this person, weary, shattered, covering a great distance (8)
I believe the answer is:
wayfarer
'like this person' is the definition.
'wayfarer' can be an answer for 'person' (wayfarer is a kind of person). I'm not certain of the remainder of the definition.
'weary shattered covering a great distance' is the wordplay.
'shattered' indicates anagramming the letters.
'covering' is an insertion indicator.
'a great distance' becomes 'far' (synonyms).
'weary' anagrammed gives 'wayer'.
'wayer' enclosing 'far' is 'WAYFARER'.
Can you help me to learn more?
(Other definitions for wayfarer that I've seen before include "Bird of passage" , "Traveller, especially on foot" , "Foot-traveller" , "One journeying on foot" , "One walking" .)