Offaly will face the winners of Down and Leitrim in the next round.
Offaly Joint Football Manager Mickey Harte says his side deserve credit for their win over Clare on Saturday.
The Faithful secured their first competitive win of the season as they saw off Clare by 1-17 to 1-14 in the Tailteann Cup.
Dylan Hyland finished with 0-9, while Keith O'Neill also impressed with 0-4.
Shane Tierney got the all important goal to seal the win, meaning Offaly will now face the winners of Down and Leitrim in the next round.
Harte says his side were fully focused on winning the game:
Brian Gavin spoke to Joint Managers Mickey Harte and Declan Kelly at full time:
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