Phillip, who replaced debutant spinner Gudakesh Motie in the only West Indies change from the first Test, justified his selection almost immediately when he was brought into the attack nearing the end of the first hour’s play.
A full-length delivery from the fast-medium bowler breached the defence of Mahmudul Hasan Joy to end an opening stand of 41 with Tamim.
He stroked nine fours in getting to 46 but was undone by his own aggression as he chased a wide, full-length delivery from Alzarri Joseph and Jermaine Blackwood held a comfortable catch at cover-point.
Kemar Roach, on 249 Test wickets, set the tone for the morning with just the third delivery of the match which lifted sharply off a good length and was fended off with great difficulty by Tamim.
Yet the opening pair survived and with Tamim especially seeking every opportunity to score, Bangladesh showed the sort of character and resilience in the first two hours which was missing for most of the first Test.