Sorry just coming back to this now.
Depending on what's presenting, some people like to perform a deep cleansing facial post microdermabrasion, this of course is for oilier and more resilient skin and may involve a clay based mask to sop up excess oil in the skin.
For dry, photoaged, hyperkeratosis and resilient skin, I would go for a moisturising mask post microdermabrasion as the skin will now be more prone to TEWL now that the SC has been grind down.
For all of the above, of course treat with specific formulas that tackle what's presented, peptides for ageing, tyrosinase inhibitors for hyperpigmentation, salicylic or hydroxy acids for acne, etc.
From clients I've seen, many are over treating their skin or it's simply not conditioned/in a great state. I generally would work to get them back to a healthier baseline before mechanically exfoliating them.
I do think for those who are prone to an accumulation of dead skin, having them have this service biannually or at most quarterly, should help to manage this.
I personally am not trained in electrolysis or lancing for milia, which although it plagues many drier skin types, if the skin is properly conditioned.microdermabrasion can be a great way to loosen and speed up the natural removal of these.
Anyway, enjoy! X