I keep a round dial cooking thermometer in my left AC vent all the time.
I have for years as I like to see what it's doing and it gives me a baseline to judge by if I think it's not working right.
With the AC on recirc it blows between 45 and 50F no matter how hot it is outside. And that's in the searing heat and humidity of central Florida.
Don't know what my clutch is doing but quick cycling is a symptom of low refrigerant. Although I suppose it also may be caused by high head pressure too.
I'm not a prefessional a/c tech but I have sucessfully worked on many over the years and coverted a couple of R12's to R134.