Molecular chains of antiferrimagnetically coupled MnIII-ion (S 2) and TCNE (tetracyanoethylene) radical moments (s ½) show different behaviour depending on group R substituted to TPP (tetraphenylporphyrin) and on the substitution site. The compound with R F in Ortho position is a Single-Chain Magnet (SCM) with blocking temperature Tb 6.6K, while that with R F in Meta position shows both blocking (Tb 5.4 K) and magnetic ordering transition (Tc 10 K). For bulky groups R OCnH2n+1, the magnetically ordered phase is observed (Tc ≈ 22 K), which does not however prevent slow relaxation at T <8 K. Magnetic hysteresis with coercive field Hc of 2 T at 2.3 K is like that of SCM. The frequency dependent AC susceptibility in the superimposed DC field reveals common features of all systems. The energy of intrachain ferromagnetic coupling between effective spin units 3/2, relevant at low temperatures, is determined for all compounds and the interchain dipolar coupling is estimated. It is concluded that slow relaxation is inherent for all quasi one-dimensional compounds and for the magnetically ordered ones shows up in the high enough magnetic field.