1) Bounce on the knee 2) Bounce on the lap 3) Caress 4) Caress; pet 5) Displace 6) Knee-bounce 7) Move 8) To fondle 9) To pet 10) To play with 11) To toy with 12) To wheedle 1) See-saw 
• (v. t.) To move up and down on one`s knee or in one`s arms, in affectionate play, as an infant. • (v. t.) To play with; to put off or delay by trifles; to wheedle. • (v. t.) To treat with fondness, as if a child; to fondle; to toy with; to pet.
Dan'dle transitive verb [ imperfect & past participle Dandled ; present participle & verbal noun Dandling .] [ Confer German dändeln to trifly, dandle, OD. & Prov. German danten , German tand trifly, prattle; Scot. ...
[v] - move (a baby) up and down in one`s arms or on one`s knees 2. [v] - pet, as of a small child
verb pet; `the grandfather dandled the small child`