Methods, compositions and uses for inhibiting the growth in blood cancer cells with one or more of caffeic acid (3,4-dihydroxycinnamic acid) phenethyl ester (CAPE), CAPE analogue MT30, and CAPE analogue GL8. The blood cancer cells can be myeloma, lymphoma and leukemia cells. The methods, compositions and uses can be in conjunction with the use of an IMiD to treat a patient. The compositions can include a pharmaceutically acceptable carrier, adjuvant or vehicle, a pharmaceutically acceptable salt or dietary supplement.