I think many have.
The issue, however, is not the feeling in itself, but how you relate to it.
Why do you perceive it in such a negative way? Could it not be your guardian angel? And isn’t it written that “the eyes of the Lord are upon the righteous” (Ps 34:8)?
Try to meditate on God’s omnipresence, and realize that even if by God’s grace you were allowed every so often, for your greater good, to feel the look of the adversary on you, his look is not unlike that of any other finite creature, a void look that comes and goes. Full of hatred, perhaps. But it is most natural that the more you grow closer to the Lord and reflect Him, the more he will hate you (and, at the same time, be terrified by you). God’s look, however, is an eternal look of everlasting love, and His presence, unlike that of any other creature, is omnipresent (meaning that you truly live in God and through God, and He is truly around you but also truly in your soul).
It may also be a product of our mind, which, as St. John of the Cross writes, is very powerful and fully capable of deceiving us. Therefore I think you may want to mention this to your confessor and meditate more on God’s presence (perhaps by means of Eucharistic adoration, which is truly being face to face with Christ, though you, the mystical Bride, wear the veil of faith, which does not allow you to fully contemplate Him). He will be able to provide you with further counsel on whether or not the only steps to take are related to the spiritual life.