Rangers moved back top of the Scottish Premiership but Steven Gerrard admits they have "lots to learn" before they can be called genuine title contenders.
Celtic's 2-0 defeat at Hibernian handed Gers the chance to regain top spot against Hamilton.
Daniel Candeias' early strike was enough to seal the points to see them climb ahead of Kilmarnock on goal difference.
But Gerrard was frustrated as his side showed "zero killer instinct" while wasting a host of chances to put Accies to bed. And the Ibrox boss insists he is not getting carried away with his team's league position.
His players celebrated wildly after beating Hearts at Tynecastle two weeks ago to move ahead of the pack but then spilled five points as they stumbled against Aberdeen and Dundee, leaving Gerrard to say: "I'm happy with the win and the clean sheet but we've got a lot to learn in terms of the performance.
"We put 22 corners in today and over 30 crosses. We created enough opportunities and got into some really exciting areas of the pitch. But we had zero killer instinct. That's a concern.
"I'm not really interested in being top of the league right now. We were top before, then went and lost and drew our next two games.
"What's more important is what we learn from the performance. It's blatantly obvious we have to kill teams off in the final third."
Candeias's third minute strike was Gers' first goal from open play in six games but Gerrard was left stunned as he saw a series of chances go begging, including Kyle Lafferty's incredible point-blank range miss just 90 seconds in.
"It was frustrating because we have to put teams like Hamilton away," added Gerrard. "Going forward, we were wave after wave. But when we got to the final part of the pitch, we lacked that bit of magic."
Accies boss Martin Canning said: "It was a horrendous start from us. Second half we were a lot better and it was a more competitive game. You could see Rangers become nervous in the last 15 minutes."