Publix: $1.99 Skinless Boneless Chicken Breast This post may contain affiliate links. Please see the full disclosure policy here. Posted on October 31, 2011 Written by Mary Leave a Comment Starting this Thursday( Wed in some areas) Publix will have Boneless Skinless Chicken Breast, $1.99/lb! I often talk about this in class, so I thought I’d mention it’s coming!! I should have ALL the BEST deals of the week up by tonight.