Giant star-forming clumps?
  With the spatial resolution of the Atacama Large Millimetre Array (ALMA),
dusty galaxies in the distant Universe typically appear as single, compact
blobs of dust emission, with a median half-light radius, $\approx$ 1 kpc.
Occasionally, strong gravitational lensing by foreground galaxies or galaxy
clusters has probed spatial scales 1-2 orders of magnitude smaller, often
revealing late-stage mergers, sometimes with tantalising hints of
sub-structure. One lensed galaxy in particular, the Cosmic Eyelash at $z=$ 2.3,
has been cited extensively as an example of where the interstellar medium
exhibits obvious, pronounced clumps, on a spatial scale of $\approx$ 100 pc.
Seven orders of magnitude more luminous than giant molecular clouds in the
local Universe, these features are presented as circumstantial evidence that
the blue clumps observed in many $z\sim$ 2-3 galaxies are important sites of
ongoing star formation, with significant masses of gas and stars. Here, we
present data from ALMA which reveal that the dust continuum of the Cosmic
Eyelash is in fact smooth and can be reproduced using two S\'ersic profiles
with effective radii, 1.2 and 4.4 kpc, with no evidence of significant
star-forming clumps down to a spatial scale of $\approx$ 80 pc and a
star-formation rate of $<$ 3 M$_\odot$ yr$^{-1}$.
