Possible Clues:

• (As a politician) promote oneself to a crowd by shaking hands
• Shake hands with crowds when campaigning
• Greet voters personally
• She left reps with new order: keep the noise down and greet people
• Shake many hands to gather votes
• Greet voters
• What politicians on the stump do could give newspapers source of temptation
• Product for chewing
• Keep shaking, about to get cross, perhaps