Is there a way to track the specific time of a button click?

If I can track the time someone clicks on my "Book a Class" button on my unique Youth Classes Squarespace URL (which is not public), then I can match it up with purchase times in MindBody to find out if my ads are working. Mindbody does not integrate with Ads Conversion tracking code, so I'm trying to get creative. 

So is there any way to record/track exact button click times? We're not talking about a lot of volume, here. 50 per month, max.

(I'm open to other ideas about how to track conversions between Google Ads->Squarespace->MindBody!)