Raptor will work, but its very expensive. Around $600 or more bucks a gallon. If you have a small plot 1 acre or less, then another option would be Slay from WINA. You can purchase 4ozs for $52 dollars or a pint that treats up to 4 acres for $138. You will need a surfactant with those also. These are for broadleaf weeds only.

Clipping/mowing works fairly well on broadleaf weeds, depending on the weed.

The Poast or Arrow is for grass control which IMO is a bigger threat to Chicory.

Chicory is tough, Its been known to survive Round-up/Glyphosate. But 2,4,D will torch it!