Means 'talkative' as an adjective or noun, often used in formal contexts. 饒舌家 specifically refers to a person who is talkative.
Etymology
Compound of 饒舌 (talkative, from 饒 'abundant' and 舌 'tongue') and 家 (suffix for a person with a certain trait). The variant 冗舌家 uses 冗 'redundant' instead of 饒.