Although, I know Havanese show dogs who do both!
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Seriously, however, I think this is one of the places where as long as it is done with patience and kindness, a little "learned helplessness" works in your favor. While being kind and gentle, you just need to be more persistent than the puppy. You just don't let them go until the job is done. You relax your hold when they relax, grasp them a bit more firmly (just firmly enough that they can't wriggle free) when they struggle. Talk gently to them, but in a no-nonsense tone of voice. Get the job done, and then STILL holding them, have a TON of yummy cookies to give them once you are finished.
Leaving this stuff can lead to staining at least, scalding and infections at worst. This is part and parcel with owning a Havanese and BEING a Havanese. It's something that BOTH of you need to learn, and the earlier the better. In a way it's more important than nails, because for SOME Havanese (thankfully, not mine!) It IS something that needs to be done daily for life!!! For others, once they get through teething, it settles down, and a quick comb with a flea comb removes any small build-up in the corner of the eyes, with no wetness or staining.