Considering that (i) the examined molecules (i.e., HSP70 and HSF1) are overexpressed in CLL cells, particularly at the beginning of the clinical progression in those patients failing ibrutinib-containing regimen and that (ii) resveratrol and its associated molecules (i.e., pterostilbene, triacetyl-resveratrol and honokiol) or anyway HSP70 (i.e., pifthrin) [9,28] or HSF1 (i.e., fisetin) [10,29] inhibitors have been proven to induce cell death by inhibiting HSP70/HSF1 signaling; we hypothesized their effectiveness in inducing apoptosis in cells from ibrutinib-resistant patients. Here, HSF1 is linked to B-cell chronic lymphocytic leukemia.