Kabongo Tshimanga scored twice in the second-half, his eighth and ninth goals of the season, to put the Spireites in control.
But the Gulls pinched a point with two late strikes from Armani Little and Tom Lapslie.
The draw means the Blues stay unbeaten after eight matches but drop a place to second in the National League table.
Here are Liam Norcliffe’s player ratings from the game...
The draw means the Blues stay unbeaten after eight matches but drop a place to second in the National League table.
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