Massive neutrinos, be it Dirac or majorana, have magnetic moment. See here, here and here.
$\bullet$ How is it measured (or can be measured) in real experiments? What are the (upper and lower) bounds on the value of the neutrino magnetic moment from direct measurements?
$\bullet$ Does the measured values of neutrino observables i.e., the oscillation angles, Dirac CP phase and bound on the sum of neutrino masses constrain the value of the neutrino magnetic moment?