The house is old, dilapidated, having much age (5)
I believe the answer is:
lodge
'the house' is the definition.
(lodge is a kind of house)
'old dilapidated having much age' is the wordplay.
'dilapidated' indicates anagramming the letters.
'having' says to put letters next to each other.
'much age' becomes 'ge' (I am not sure about this - if you are sure you should believe this answer much more).
'old' is an anagram of 'lod'.
'lod'+'ge'='LODGE'
'is' is the link.
Can you help me to learn more?
(Other definitions for lodge that I've seen before include "Deposit the house at the estate entrance?" , "Lair of beaver or otter" , "Deposit as to bank account" , "Stick" , "Cottage at the entrance to the grounds of a big house" .)