Offaly’s promotion hopes suffered a severe setback as they fell to a 2-05 to 0-13 loss to Clare at O’Connor Park.
Niall McNamee’s goal kept the Faithful in touch at the break but they still trailed by three, 1-02 to 0-08.
Emmet McDonnell’s men even took the lead when Brian Darby raised a green flag but Gary Brennan and David Tubridy added late points to hand Mick O’Dwyer his second win of the campaign.
Elsewhere, Tipperary secured their first win with a straightforward 2-12 to 1-08 win over London in front of 251 supporters in Thurles.
Paudie O’Sullivan’s goal helped the home side to a six-point lead at the break, 1-06 to 0-03.
And there was to be no comeback for the Exiles as the Premier ran out seven-point winners.
Meanwhile, Leitrim also won their first points of the season with a hard-fought win over 14-man Carlow in Dr Cullen Park.
Derek Hayden saw red for the home side in the first half and Leitrim led by a goal at the break, 1-06 to 0-06.
Emlyn Mulligan, Ray Cox and James Glancy were all on target in the second period as Leitrim claimed a 1-16 to 0-12 win.