A 4-2 victory at Sunderland clinched a fourth successive Premier League win for the first time in the club's history and saw the Baggies leapfrog Chelsea as a result of the best start to a season in 59 years.
However, asked if West Brom could replicate what former club Newcastle United did last season and mount a sustained assault on the big guns, Clarke insisted he was looking only as far ahead as the midweek trip to
He said: "I don't know. I don't know is the honest answer.
"All I know is up until now, we have done very well. We have had a lot of plaudits and the players deserve it because so far, we have been a really good team.
"But you don't get carried away in the Premier League. We are still this side of Christmas, there are a lot of games to be played, a lot of points to be fought for.
"Our focus is on Wednesday night, that's as far ahead as we look."
West Brom reached the break in complete control but without having out-played its host.
It took the lead on the half-hour courtesy of a fine finish by
Sunderland's fortunes took a further turn for the worse two minutes before the break when Mignolet fumbled
The Baggies looked to be cruising to victory until
Substitute Romelu Lukaku confidently converted a controversially-awarded 81st-minute spot-kick after Johnson was harshly penalised for a challenge on
Clarke could hardly have enjoyed a better start to his managerial career, but again, was refusing to be carried away.
He said: "I don't dream too much, I'm a realist. I knew the squad of players I was taking over was a good squad, I knew it was a squad comfortable in the Premier League.
"They had finished mid-table and mid-table with 47 points both seasons. We knew we had added some good players to the squad, and we were hopeful that we could have a good season.
"So far, we have done okay."
However, injuries to
He said: "I think there's a lot to take out of the match, a lot to take out of it. We have been beaten, but we look as if we can maybe get a goal again now, which is very encouraging.
"We have a big game on Tuesday night and we will try to get ourselves prepared for that."
O'Neill was quick to leap to Mignolet's defence after his rare error strengthened West Brom's grip on the game.
He said: "Simon has been fantastic for us, absolutely fantastic. He is entitled to something like that now and again.
"It's absolutely and utterly out of character. It just slipped out. He has been terrific for us."