gumshoeing
/ˈɡʌmˌʃuɪŋ/
verb
- Present participle of gumshoe; moving or acting like a detective, investigating or following stealthily.
- She spent the afternoon gumshoeing around the office looking for the missing documents.
- Instead of relaxing, he was gumshoeing around the park, watching the suspects.
- The private eye was gumshoeing through the city, following a lead.