  The top quark, being the heaviest particle of the Standard Model, is a prime
candidate of where physics beyond the SM might currently hide before our eyes.
There are many natural extensions of the SM that rely on top compositeness, and
the top quark could follow the paradigm of revealing a substructure when it is
probed at high enough momentum transfers. Observing high $p_T$ top final states
naturally drives us towards boosted hadronic analyses that can be tackled
efficiently with jet substructure techniques. In this paper we analyse the
prospects of constraining exemplary non-standard QCD top interactions in this
kinematical regime. We correctly include QCD modifications to additional gluon
emission off the boosted top quark and keep track of the modified top tagging
efficiencies. We conclude that non-standard top QCD interactions can be
formidably constrained at the LHC 14 TeV. Experimental systematic uncertainties
are a major obstacle of the described measurement. Unless significantly
improved for the 14 TeV run, they will saturate the direct sensitivity to
non-resonant BSM top physics at luminosities of around 100/fb.
