Hopefully this should clarify the issue:
MN44 Culavedalla Sutta wrote:
`sakkāyo sakkāyo'ti, ayye, vuccati. katamo nu kho, ayye, sakkāyo vutto bhagavatā"ti?
pañca kho ime, āvuso visākha, upādānakkhandhā sakkāyo vutto bhagavatā, seyyathidaṃ rūpupādānakkhandho, vedanupādānakkhandho, saññupādānakkhandho, saṅkhārupādānakkhandho, viññāṇupādānakkhandho
Personality, personality it is said, lady. What is described to be personality by the Blessed One?"
Five clinging aggregates are the personality described by the Blessed One: form as a clinging-aggregate, feeling as a clinging-aggregate, perception as a clinging-aggregate, fabrications as a clinging-aggregate, consciousness as a clinging-aggregate.'
So 'personality' (sakkaya) is the five clinging aggregates. It is one or few or all of these we consider to be the self. Self-view (sakkaya ditti) arises because due to lack of samadhi, we do not clearly see the aggregates. Hence we form various 'views'/conclusions/imagine various things about the aggregates, which are not true.
I have seen people able to get rid of a self view fairly easily when it comes to the body, but not so easily when it comes to the mind- hence the Buddha saying that even though the mind changes quicker, people still find it difficult to get rid of their self view of the mind. This is because the changing of consciousness is very difficult to see and the last refuge of the self view is often, consciousness. Observing only the body through vipassana is not guaranteed to get rid of self view, due to these reasons- having said that if a persons self view is only limited to the body and not to the mind (because the body is the most easily 'visible' aspect of the self) then a body contemplation like contemplating the four great 'primaries' (maha-bhutha) or doing an asubha (foulness of the body) or the body scan will/may be the required contemplation/meditation to get rid of that self view. This is not just me theorising - since I use a variety of methods to teach the dhamma, I see that different people need different methods from the satipatthana to get rid of their self-view.
Incidentally I dont have methods that I cling to and methods that I am averse to - I only care about what works.