USCIS has confirmed that the Presidential executive orders released last week do NOT have any effect on petitions and applications currently pending with USCIS. This includes I-485 Adjustment of Status petitions, affirmative asylum cases (those filed with USCIS to claim asylum, as opposed to those filed in immigration court as a defense to removal), refugee/asylee relative petitions, and presumably naturalization petitions filed by people from the seven countries involved in the travel ban.
This announcement came in a February 2 memo released by USCIS Acting Director Lori Scialabba.