nibble

verb

- Take small bites out of

... Pam enjoyed watching her pet bunny nibbling on carrots.
... Hamsters frequently take a nibble of food at a time.
verb

- Show cautious interest in a project or proposal

... Many potential buyers would nibble at the vacant apartment, which took up the real estate agent's entire day but did not guarantee a sale.
... At the auction, various items were brought out in the hopes that buyers would react with a nibble.