Pull up to take in a mark giving range (5)
I believe the answer is:
gamut
'range' is the definition.
(gamut is a kind of range)
'pull up to take in a mark' is the wordplay.
'pull' becomes 'tug' (tug is a kind of pull**).
'up' says the letters should be written in reverse (in down clue: letters go upwards).
'to take in' indicates putting letters inside.
'mark' becomes 'm'.
'tug' written backwards gives 'gut'.
'a'+'m'='am'
'gut' going around 'am' is 'GAMUT'.
'giving' acts as a link.
(Other definitions for gamut that I've seen before include "Compass, scale" , "Full extent" , "Full range, compass" , "Complete range or scale" , "Whole range (from A to Z)" .)