How to remove faucet on American standard with no screw or cap
Modern American Standard 4&quot; center-set lav faucets with lever style handle typically have a set-screw at the base of each lever in the back. It may be difficult to see the small screw hole as there is usually a little cover plug that needs to be pried out with a small screwdriver or similar tool. You will need a hex wrench:

Another style (less common in my experience) simply requires a firm pull upwards for handle removal:

If this works, here is a link to the complete installation manual.