"Squenching" is a relatively obscure word, but there are several synonyms that can be used to convey a similar meaning. One possibility is "quenching," which refers to the act of satisfying or extinguishing a thirst, desire, or fire. Another option is "slaking," which has a similar connotation of quelling or satisfying a need. "Abating," which means to lessen or reduce in intensity, might also be a useful synonym for squenching. Finally, "appeasing" or "pacifying" could be used to describe the act of calming or soothing something that is causing discomfort or agitation.