A tallyman is aperson who keeps a record or count, often officially or as part of their job, by making tally marks or maintaining a tally system. Historically, this term also referred to a person who sold goods on credit or collected payments from customers in installment system. Tallymandefinition: a person who tallies or keeps account of something.. See examples ofTALLYMANused in a sentence. The meaning ofTALLYMANis one who sells goods on the installment plan. Definetallyman.tallymansynonyms,tallymanpronunciation, tallyman translation, English dictionary definition oftallyman. n. 1. One who keeps a tally or count of something. 2. Chiefly British One who goes from door to door selling goods on an installment plan and collecting...