follow out is a verb meaning "pursue to a conclusion or bring to a successful issue". It carries one recorded sense.
pursue to a conclusion or bring to a successful issue
“Did he go through with the treatment?”
“He implemented a new economic plan”
“She followed up his recommendations with a written proposal”
Definitions, synonyms and semantic relations for follow out come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.