The Blues headed to Emirates Stadium on Monday determined not to let a rival for the Premier League crown edge five points into the distance.
Jose Mourinho's men were the happier at the end of a goalless stalemate, with Arsenal denied the opportunity to take the Christmas number one spot.
Just two points now separate the top five, and there are only six between the top seven.
It is shaping up to be quite some tussle, and Chelsea skipper Terry admits the top prize will go to the side who can find the greater consistency.
He told Sky Sports: "Home and away we have still got a lot more to give.
"We're quietly happy with where we are at the moment. We are amongst the pack of four or five teams who are looking good at the moment going into Christmas. In the New Year we hope to put a good run together.
"It's wide open. It's exciting. If we can put a good run together of five, 10 games it's then down to anyone to pull away."
On a keenly-fought contest with Arsenal which was played in testing conditions in north London, Terry added: "It was a bit breezy once the ball was in the air, but both sides were looking to play so that wasn't a problem. The pitch was perfect.
"We have come here with the aim to not lose the game. In 80 minutes we obviously wanted to win the game, but in the last 10 minutes you could see that we tightened things up and held for the draw.
"We came here to win the game. It's their home game and it's down to them to bring it to us. With five minutes to go you have to reorganise and say, 'okay this isn't a bad point away from home'."
Terry's centre-half partner Cahill was also quick to point out the priority for the visitors was to leave with something, rather than everything.
The England international said: "I think we cancelled each other out. We had one at Old Trafford earlier on in the season where we seemed to cancel each other out. There weren't many chances at either end.
"We don't want to lose the game - we would have loved to win it, but if we don't win it then we don't want to lose the game. It's nice to get a clean sheet as well.
"It keeps us there, keep us there with the rest of them."