Carlisle scored an unbeaten 103 as Zimbabwe reached 210 for two in their first innings in reply to Bangladesh's 168.
The Test had been badly affected by the weather with just 37.1 overs of play possible on Saturday and the other three days were washed out completely.
Zimbabwe won the series 1-0 after winning the first Test in Harare by 183 runs.
Carlisle batted cautiously throughout his 173-ball innings, hitting nine fours and a six, and the captains shook hands on a draw immediately after he reached his century.
Bangladesh had resumed on 88 for five, and failed to make the most of some poor fielding by Zimbabwe in the morning session.
Mushfiqur Rahman went without scoring to the second ball of the day when medium pacer Douglas Hondo trapped him leg before wicket.
Manjural Islam Rana offered the first of three spurned chances on seven when he sparred at a ball from Hondo and was dropped by Travis Friend in the gully.
The fortunate Islam Rana had progressed to 22 when Friend dropped him again, this time off fast bowler Sean Ervine.
He added 37 runs for the seventh wicket with Khaled Mashud before Ervine dismissed Mashud lbw for nine.
Ray Price was the next aggrieved bowler when Tapash Baisya swept a difficult chance to short leg fielder Dion Ebrahim, who failed to hold on to the ball.
But Baisya then sliced a drive off Price and was caught by Grant Flower at point for two to make Bangladesh 137 for eight.
It might have been 140 for nine, but Ervine in the gully spilled Islam Rana's third chance off Friend.
Zimbabwe's tormentor was eventually caught behind by wicketkeeper by Tatenda Taibu at the second attempt, off Price.
Flower was the culprit for the fifth botched catch of the session spilling a simple chance at mid-off
The innings ended five balls after lunch when Alamgir Kabir (three) edged a delivery from Price on to his pad and was caught by Dion Ebrahim at silly point. Mohammad Rafique was 26 not out.
Zimbabwe lost their first wicket in the third over when Ebrahim (two) edged a ball from Baisya to Hannan Sarkar at second slip.
Trevor Gripper (65) and Carlisle shared 129 runs for the second wicket, a stand that was ended when Gripper skied the ball to wicketkeeper Mashud.
Scorecard:
Bangladesh first innings (overnight 88-5)
Hannan Sarkar b Ervine 25
Shahriar Hossain c Taibu b Ervine 31
Habibul Bashar c Friend b Streak 4
Rajin Saleh c Ervine b Hondo 6
Mohammad Ashraful c Carlisle b Friend 1
Manjural Islam Rana c Taibu b Price 39
Mushfiqur Rahman lbw b Hondo 0
Khaled Mashud lbw b Ervine 9
Tapash Baisya c Flower b Price 2
Mohammad Rafique not out 26
Alamgir Kabir c Ebrahim b Price 3
Extras (lb-4 nb-12 w-6) 22
Total (all out, 75.5 overs) 168
Fall of wickets: 1-64, 2-73, 3-73, 4-81, 5-87, 6-89, 7-126, 8-137, 9-144
Bowling: Streak 15-9-19-1 (nb-2 w-2), Hondo 18-5-25-2 (nb-2 w-2), Ervine 15-4-46-3 (nb-2), Mahwire 10-2-34-0 (nb-5 w-2), Friend 9-2-20-1 (nb-1), Price 8.5-2-20-3
Zimbabwe first innings
D.Ebrahim c Hannan Sarkar b Tapash Baisya 2
T.Gripper c Khaled Mashud b Tapash Baisya 65
S.Carlisle not out 103
G.Flower not out 37
Extras (nb-3) 3
Total (for two wickets, 60.2 overs) 210
Fall of wickets: 1-5, 2-134
Did not bat: T.Taibu, S.Ervine, H.Streak, T.Friend, B.Mahwire, R.Price, D.Hondo
Bowling: Tapash Baisya 15-3-43-2, Alamgir Kabir 8-1-39-0 (nb-3), Mushfiqur Rahman 10-1-36-0, Mohammad Rafique 20-7-53-0, Manjural Islam Rana 6-0-33-0, Mohammad Ashraful 1.2-0-6-0
Result: Match drawn
First Test: Harare - Zimbabwe won by 183 runs
Zimbabwe win two-match series 1-0.