For clarity's sake, I'll start by explaining the process in which you get such a permanent.
I activate the ability Mairsil gained from Gliding Licid making her into an Aura, she will retain the Equip and Crew abilities (becaus of how Gliding Licid's ability is worded).
Mairsil is now an Aura with "Enchant creature", "Equip 0", and "Crew 3" (irrelevant abilities are excluded). Since the Equip ability states that you "Attach this permanent to target creature you control", and since the Mairsil Aura can be attached to creatures, I assume this means that I can re-equip Mairsil to other creatures I control.
I now crew my Mairsil Aura, Mairsil will now be an "Artifact Creature - Aura" (Crew retains subtypes right?).
Now we're finally here, is there anything stopping me from equipping Mairsil to herself?