inkling

Short definition from Wiktionary

Noun

1. 1
   Usually preceded by forms of to give: a slight hint, implication, or suggestion given., A vague idea about something.
2. 2
   Often preceded by forms of to get or to have: an imprecise idea or slight knowledge of something; a suspicion.
3. 3
   A desire, an inclination.

Verb

1. 1
   present participle and gerund of inkle