He follows the boss's every word slavishly and never disagrees.
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From 《庄子·田子方》: a disciple complains 夫子步亦步,夫子趋亦趋 - when you walk I walk, when you trot I trot - but I can never catch up. Originally about admiration, now usually critical.
memory
亦 = also; 步 = walk; 趋 = run. 'Also walk, also run' - copying every move.