Porter airs problem to one of those immune to dust (10)
I believe the answer is:
Here is my best explanation:
'one of those immune to dust' is the definition.
I can't tell whether this defines the answer.
'porter airs problem' is the subsidiary indication.
'problem' indicates anagramming the letters.
'porterairs' anagrammed gives 'respirator'.
'to' is the link.
(Other definitions for respirator that I've seen before include "Breathing aid", "protective equipment", "Supplier of clean gas", "breather" and "Breathing apparatus".)