There isn't one specific Shi'i view on Rumi, insofar as poetry is more of an aesthetic matter or matter of taste rather than a theological matter.
Many Shi'is enjoy reading his poetry and find wisdom in it and quote it, particularly in Iran.
However if there is some theological objection to one of his poems, perhaps one could skip that one.
Some Shi'is do not have an interest in his poetry or that style of poetry in general, and don't pay attention to it.
In and of itself, there is no fiqh-based problem in writing or reciting poetry that provides wisdom, truths, and upliftment.