Short name, indicator that is limited (6)
I believe the answer is:
narrow
'is limited' is the definition.
(I've seen this before)
'short name indicator' is the wordplay.
'short' suggests taking the first letters.
'indicator' becomes 'arrow' (I've seen this before).
The initial letter of 'name' is 'n'.
'n'+'arrow'='NARROW'
'that' is the link.
(Other definitions for narrow that I've seen before include "... not one" , "Short of breadth" , "Thin; taper" , "limit" , "Strait, not wide" .)