Often hungry, and beginning to grow thin (6)
I believe the answer is:
greedy
'often hungry' is the definition.
'greedy' can be an answer for 'hungry' (thesaurus). I'm not certain of the 'often' bit.
'beginning to grow thin' is the wordplay.
'beginning to' indicates taking the first letters.
'thin' becomes 'reedy' (as in a thin or reedy voice).
The first letter of 'grow' is 'g'.
'g'+'reedy'='GREEDY'
'and' is the link.
Can you help me to learn more?
(Other definitions for greedy that I've seen before include "Overeating" , "Very eager to get" , "Starving" , "Covetous, avaricious" , "Having a voracious appetite" .)