  We describe a search for submillimeter emission in the vicinity of one of the
most distant, luminous galaxies known, HerMES FLS3 at z=6.34, exploiting it as
a signpost to a potentially biased region of the early Universe, as might be
expected in hierarchical structure formation models. Imaging to the confusion
limit with the innovative, wide-field submillimeter bolometer camera, SCUBA-2,
we are sensitive to colder and/or less luminous galaxies in the surroundings of
HFLS3. We use the Millennium Simulation to illustrate that HFLS3 may be
expected to have companions if it is as massive as claimed, but find no
significant evidence from the surface density of SCUBA-2 galaxies in its
vicinity, or their colors, that HFLS3 marks an over-density of dusty,
star-forming galaxies. We cannot rule out the presence of dusty neighbours with
confidence, but deeper 450-um imaging has the potential to more tightly
constrain the redshifts of nearby galaxies, at least one of which likely lies
at z>~5. If associations with HFLS3 can be ruled out, this could be taken as
evidence that HFLS3 is less biased than a simple extrapolation of the
Millennium Simulation may imply. This could suggest either that it represents a
rare short-lived, but highly luminous, phase in the evolution of an otherwise
typical galaxy, or that this system has suffered amplification due to a
foreground gravitational lens and so is not as intrinsically luminous as
claimed.
