Do you mean the dual oil+water Lancome mu remover? If so, yes i've noticed my eyes get bumpy too so i stopped using it. It's just too thick so even if you remove it well i personally felt like it was stuck on my eyelashes.
Anyway as a general rule, if you don't take off your makeup or all your makeup, this will lead to bumpy eyelids.
If you use oil removers in general, rinse well your eyes with floral water, or warm water from the tap, and the real trick is to add a few drops of physiological saline in your eyes, to rinse them as well. I think the only oil that doesn't make your eyes puffy is olive.
In the morning what you can do is simply use floral water, preferably from the fridge for the cold feeling (we're supposed to keep them in there but i don't see myself going downstairs to the kitchen just to spray some on my face
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[email protected] 2x" width="20" height="20" /> ), wet two cotton pads and apply them on your eyes. It helps getting rid of the puff.