Second shopping centre is limited in size (5)
I believe the answer is:
small
'limited in size' is the definition.
(I've seen this before)
'second shopping centre' is the wordplay.
'second' becomes 's' (common abbreviation).
'shopping centre' becomes 'mall' (a mall is a large shopping complex).
's'+'mall'='SMALL'
'is' is the link.
(Other definitions for small that I've seen before include "Of no great size" , "Diminutive" , "of little significance" , "Piddling" , "Itsy-bitsy" .)