I just finished spraying all 25 of our clover plots yesterday. We mowed them to about 12" tall 3 weeks ago. Came back a week later & sprayed clethodim for grass. Sprayed the 24DB this week for the broadleaf. MAKE SURE that you get the "B" version, as regular 24D will also kill the clover. All this rain & fert back in spring has them looking great for almost July.
I've never had any luck controlling broadleaf in clover by simply mowing them back. Have heard & read this recommendation alot but never worked for me. If you think about the weeds in your lawn, does mowing get rid of them?