Causes offence with independent doctor probing lower regions (8)
I believe the answer is:
midriffs
'lower regions' is the definition.
'midriffs' can be an answer for 'regions' (midriff is a kind of region). I'm not certain of the 'lower' bit.
'causes offence with independent doctor probing' is the wordplay.
'causes offence with' becomes 'miffs' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'independent' becomes 'i'.
'doctor' becomes 'dr' ('Dr' can be a synonym of 'doctor').
'probing' means one lot of letters goes inside another (probe can mean to make a hole in).
'i'+'dr'='idr'
'miffs' placed around 'idr' is 'MIDRIFFS'.
Can you help me to learn more?
(Another definition for midriffs that I've seen is " Middle areas of human torsos".)