A 30-12 defeat at Stade Marcel Michelin was the first in Heineken Cup Pool 4 for the Tigers this season, and meant a fall to third place at the midway stage.
But there are only two points separating them and Clermont at the top, and Cockerill is looking to his players to bridge that gap at home on Saturday.
"We stuck in there and we did deny them a bonus point. That means there are still points to play for when we bring them back to Welford Road next weekend. We will just crack on in this competition," said Cockerill
"The best side won on the day and obviously the yellow cards didn't help us. We have to go home, lick our wounds and prepare for next week's return game.
"The atmosphere in Clermont is pretty volatile. The crowd cheer and everybody is lying on the floor like they have been shot.
"The referee deals with the decision as he sees fit. Alan Rolland is a good referee and he dealt with it."
England scrum half Ben Youngs grabbed the first try of the game and the Tigers scrum earned them a penalty try at the death to at least give them hope of turning the result around next weekend.
But Cockerill was unhappy that his side failed to make the most of their scoring chances and gifted Clermont a try just before the interval through a dropped ball in their 22.
"We had chances in their 22 in the first half and we didn't take them - you have to take them at this level. You also have to kick your points when you get an opportunity and we didn't do that either," said Cockerill.
"On balance, they probably deserved to win and I am not complaining about the result. They had opportunities and they took the chances well.
"The score before half-time hurt us and then in the second half we had two guys in the bin at the same time. It cost us seven points and they are a world class team on the front foot - we really got punished then."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The Barbarians are one of the top invitational rugby sides with a long history and classic rugby jersey.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Lions get ready for their matches with this green training jersey. It's what the players wear. Get in the Gear!
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
$29.99
The Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.