Has it now gained sufficient reputability?
It seems not:
CONJUNCTION: Usage Problem 1. In the same way that; as: To dance like she does requires great discipline. 2. As if: It looks like we’ll finish on time.
Writers since Chaucer’s time have used like as a conjunction, but 19th-century and 20th-century critics have been so vehement in their condemnations of this usage that a writer who uses the construction in formal style risks being accused of illiteracy or worse.