The phrase "after another chance" is correct and usable in written English.
It can be used when discussing the opportunity for a second or additional attempt at something.
Example: "I hope to improve my performance after another chance to present my ideas."
Alternatives: "after a second opportunity" or "following another opportunity".
After all, another chance to get up close and personal with the opponents they may face in a different red shirt next summer is not one to pass up.
Newcastle had the jitters and could have fallen further behind but, after creating another chance for himself when he closed down the dawdling Harper just inside the area, Welbeck failed to find the empty net.
Ah well, it's our first day back, and tomorrow (and the day after, and the day after that) is another chance for passing pop cultural references.
But Montgomerie preferred to look ahead, after giving himself another chance to capture an elusive prize.
A two-goal buffer was then established after Catriona Wagg converted another chance.
The player might be frustrated enough with the way things are going on the pitch after Napoli blew another chance to close the gap on Juventus at the top of Serie A. Walter Mazzarri's side had the chance to move within two points of the leaders with victory over Sampdoria but instead trail by four.
It was only after Yakubu sliced another chance into the side netting, a bad miss by the former Everton striker, that Norwich came to life.
Shortly after, Murphy had another chance when sub Nikola Zigic was fouled by Millwall's centre-half Paul Robinson just outside the penalty area, but Forde went full length to his left to keep out the free-kick.
In attack, Ramirez and Rickie Lambert were a constant menace to the Gunners defence, whilst at the other end Theo Walcott was starved of service after being given another chance to press his claims for a regular starting berth up front.
