Getting close to Grannie Dotty (7)
I believe the answer is:
nearing
'getting close to' is the definition.
(I've seen this before)
'grannie dotty' is the wordplay.
'dotty' indicates an anagram (a mad or 'dotty' version of the letters).
'grannie' with letters rearranged gives 'NEARING'.
(Other definitions for nearing that I've seen before include "Approaching" , "Getting close to" , "Drawing closer to" , "Moving towards" .)