Progress on several persistent problems in single- and double-Lambda light
hypernuclei is briefly reviewed in this talk: (i) Lifetimes of the weakly
bound Lambda-3H (Lambda-p-n), and of Lambda-3n (Lambda-n-n) if existing ;
(ii) Charge Symmetry Breaking in the A=4, isospin I=1/2, Lambda hypernuclei
; (iii) Overbinding of Lambda-5He , apparently related to the hyperon
puzzle in neutron stars; and (iv) Onset of binding in double-Lambda
 A. Gal, H. Garcilazo: PLB 791 (2019) 48.
 D. Gazda, A. Gal: PRL 116 (2016) 122501, NPA 954 (2016) 161.
 L. Contessi, N. Barnea, A. Gal, PRL 121 (2018) 102502.
 L. Contessi, M. Schaefer, N. Barnea, A. Gal, in preparation.