In my experience, you should get a decision about your VAWA application status within 90 days of USCIS receiving the answer to the RFE.
U.S. Citizenship and Immigration Services allows survivors of domestic violence to seek work and lawful status under the Violence Against Women Act (VAWA). An abused spouse or child of a U.S. citizen or a lawful permanent resident can self-petition for lawful status. VAWA provides domestic violence survivors the ability to get out of their unsafe situation and reach an independent, quality way of life.
In determining how long approval for VAWA will take, it is important to review the USCIS guidelines. However, you should be mindful that processing times are estimates and are not guarantees for when you should receive an answer.
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The time frame in which you should hear about your approval for work through the VAWA application depends on whether or not your application was complete and accurate when it was filed after you submitted the RFE. Any mistakes will drastically delay the case.
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You usually get the work permit within 90 days of filing the adjustment application (the i485) with work permit. This may be delayed by the rfe. You don't mention that you filed the adjustment. It looks like you only files the i360 which does not by itself give you work permission.