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Barring a situation where prayer would be forbidden like an unclean area, is it OK to say Tehillim anywhere, at any time, even repeating the same chapter multiple times in succession?
The Tzemach Tzedek (Lubavitch) wrote, that if we only knew the power of saying Psalms, and the positive spiritual effect they had we would say them constantly!
See this video: Hayom Yom Shevat 24.
And the text can be found here