Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Chicago O'Hare Intl Airport to Clovis, New Mexico as you normally would.
For a flight from Chicago O'Hare Intl to Clovis, you will be flying into Clovis. Clovis (CVN) is just 7.4 mi from the center of the city. Clovis is the only Clovis airport and it handles 0 inbound flights from Chicago O'Hare Intl per day. 0 airlines have flights to Clovis from Chicago O'Hare Intl on a regular basis.