It's possible that you've always had a nervous twitch like this but only when starting meds did you notice it, assuming the meds you started would have side effects and you just became over-conscious of your blinking/twitch. Could try meds for nervous twitches. This is the most likely...
The least likely other possibility is you've developed tardive diskinesia which is an incurable, life-long form of chorea. Chorea is involuntary uncontrollable (with any med) twitching, shaking, other involuntary movements. Can be mild to severe, I've never heard of involuntary eye blinking though. One month is NOT long enough for anyone with normal reactions to antipsychotics for this to develop, it usually only manifests after years of taking 1st gen antipsychotics (Haloperidol, Risperidol especially) which even then there was a less then 3% chance of it happening, and with newer 2nd gen atypicals there's usually a <1%.
When I started taking adderall my eyelids started getting sweaty, and I assumed it was the adderall but I hadn't ever heard of this before, didn't take it for a day and it still happened. I started taking adderall around the time it started getting really hot in my area, and I had started staying up later for various things. It was pretty much that. Something similiar could've happened to you- you start blinking more when you start taking the med, you assume its the med, you stop taking the med and notice no improvement but you can't really find an explanation of why there ISN'T an improvement because there's a correlation between when you started it and when you started blinking. If I were you I'd go to the same conclusion because blinking isn't as explainable as sweaty eyelids. Your blinking could be caused by watery eyes, irritated eyes, as blinking can seem/be involuntary if you have either, and watery eyes are less likely to be noticed than irritated ones because they aren't as painful or uncomfortable.
So you could have allergies, try an antihistamine like claritin or see a specialist. a reaction to another medication maybe, anything else you're taking? Temperature increase in your area, resulting in increased tear production (your eyes do sweat- from your tear glands)...exercising more? Are you constantly exposed to very below/above room temperature air (this is especially likely to be the cause if air is blowing in your face, e.g. a fan directly at your face)?
