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 nine points, while Keith O'Neill also impressed with four points.
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:
Our coverage of Offaly GAA is with thanks to Leahy Midland Auctioneers & BER Assessors, if you're thinking of selling or buying a property or need an energy rating then get in touch with John - visit leahyauctioneers.ie
Laois Progress To Next Round Of Tailteann Cup
Ronan Deegan Secures Third Professional MMA Win
John Heslin Trains With Westmeath Camp Ahead Of Leinster Final
Midlands Volunteers Encouraged To Enter GAA Community Heroes Campaign
Laois Secure Massive Win Over Westmeath In Joe McDonagh Cup
Ireland Secure Second Win In Women's Six Nations
Leinster SHC: Eoghan Cahill 65 Rescues Draw For Offaly Against Kilkenny
Offaly Hurling Captain Hospitalised Following Kilkenny Match
Athlone Town Play Out Stalemate At Home To Treaty United
Laois: Leinster Camogie Champions After Midlands Derby Victory
Laois Soccer Club Marks 60th Anniversary with 12 Hour Football Marathon
Wicklow The First Opponents For Laois In Tailteann Cup
Irish Rail To Provide Extra Services For Leinster Football Final
First Win In Tailteann Cup The Aim For Offaly
Athlone Town Welcome Treaty United To Lissywollen
Westmeath And Laois To Fight For Leinster Glory
Aoife Dalton To Start For Ireland's Six Nations Clash With Wales
Ronan Deegan Aiming To Maintain Perfect Professional Record In MMA
All Island Cup The Focus For Athlone Town Women This Weekend