Lab Power Supply based of LM317 (Project)
If you want an adjustable current limited linear power supply, I suggest you build one on 5-pin ICs instead of two 3-pin ICs. That way you don't pay the voltage drop price [over the pass element] twice. Look at L200 etc. The difference is that these 5-pin regs have a single pass element with two sources of control for it (error amp for voltage reg and comparator for current limit).



If you want to stick with the  twin LM317 solution, look at LM317 based power supply with current limiting where this topic has been discussed before.