It is shown that, if the "new neutrino" implied by the Reactor Neutrino
Anomaly exists and is in fact characterized by the suggested relatively high
mass squared difference and reasonably large mixing angle, it should clearly
reveal itself in the oscillometry measurements. For a judicious neutrino source
the "new oscillation length L14 is expected shorter than 3m. Thus the needed
measurements can be implemented with a gaseous spherical TPC of modest
dimensions with a very good energy and position resolution, detecting nuclear
recoils following the coherent neutrino-nucleus elastic scattering. The best
candidates for oscillometry, yielding both monochromatic neutrinos as well as
antineutrinos, are discussed. A sensitivity in the mixing angle theta14,
(sin(2\theta14))^2=0.1 (99 %), can be reached after a few months of data
handling.Comment: 18 LaTex pages, 11 figures, 2 table