Confidence may arise without conceit and clinging to views.
Confidence can be the result of seeing directly some phenomena by oneself. After seeing, if one is paying attention wisely, real understanding can be developed over what one has seen.
A mind with confidence is a mind that has all its emotional and rational assessment and values aligned towards the wisdome developed; is a mind that has no doubts and contradictions on its judgements.
If you ask me, I don't see the need to attach to such understanding, because, at least theoretically, there's always the possibility of the arising of new information that could contradict what one has learnt in the past. I think one should be always open to the possibility the unknown, while in the meantime, until contradictory information arrives, using what has been learnt as a valid and useful, tentative hypothesis for go through the events of life. Also, there's no need to take such understanding as 'I' or 'mine'.
Conceit and clinging to views arise alongside confidence when ignorance hasn't been uprooted yet.
Despite all of the above said, what's really amazing is that the Dhamma seems to be timeless in its application. But do not trust me on that; you might be able to see it for yourself (or maybe you already have).