Featured are devices for compression of target tissue while magnetic resonance imaging the target tissue and methods and systems related thereto. The method includes disposing target tissue between the fixed surface and the moveable member of a compression device and compressing the target tissue between the fixed surface and the moveable member. The method also includes acquiring one or more, more specifically a plurality, of sequences of image data of the compressed target tissue using an MRI imaging technique (MRI). In particular embodiments, the MRI technique is a SENC MRI technique, where tissue encoding is done prior to compressing the tissue and acquiring includes adding a gradient moment in the slice-selection direction to cause demodulation with a specific frequency. In further embodiments, the sequences of image data are acquired one of during successive periodic compressions of the tissue or successive periodic relaxation of the tissues.