Praise is of utmost importance on the mystic's path. This might sound strange at first, given that mystics have a tendency to move away from strict literalism and think of things from other angles instead.
Praise need not be understood from the angle of an individual praising an external and wholly separate God that will otherwise be angered in the absence of such praise, yet we find that image of separation between man and God to be useful here; the act of praise can happen between the individual personality/ego and the Higher Self, specifically in the moments when we feel most separated from the Divine.
This is an on-going process, of course; our drawing closer to the Divine is something that spirals about, and most of us experience extreme nearness and then extreme distance. That's okay. That's how things are supposed to go for most people.
This drawing near and then moving away from the Divine applies just as easily to the Inner Divine. Sufism has things to say about the feeling of distance from the Divine and the longing one might feel in response to that distance.
And so it goes.
In these moments, even for mystics, we can praise the Inner Divine. We can realize that our distance from the Inner Divine is also part of the Mystery, and by our sheer awareness of that distance, we're actively participating in the Mystery!
Whether our praise is a simple "thank you" or we start singing hymn after hymn, focusing on the Inner Divine while we do those things achieves the result.
Let us reflect on these things.