Autophagy and heat-shock response impair stress granule assembly during cellular senescence

•Senescent cells are unable to form stress granules correlating with an upregulation in the heat-shock response and autophagy.•Depletion of HSP70 or ATG5 restores stress granule assembly during senescence under chronic oxidative stress conditions.•However, depletion of HSP70 or ATG5 did not affect the clearance of stress granules during recovery from chronic stress.•Senescent cells display unique heat-shock and autophagy-dependent ability to impair the chronic formation of stress granules.