Runs Deep Posted on January 5, 2012January 5, 2012 Something that is very established or concrete. For Example: “That red hair runs deep in Jimmy’s family genetics.” Share: Share on Facebook (Opens in new window) Facebook Share on X (Opens in new window) X Share on Pinterest (Opens in new window) Pinterest Share on WhatsApp (Opens in new window) WhatsApp Share on Telegram (Opens in new window) Telegram Related Posted in Idioms.