Well, that was entertaining. I did a wget on the latest Perl (5.22.0), did the Configure, then ran make, using nice so I didn't clobber my host:

-bash-4.3$ time nice make
make: Permission denied

real    0m0.002s
user    0m0.001s
sys     0m0.001s
-bash-4.3$
[download]

So apparently make is locked down. :(

Aha! Digging around in /usr/local/bin, I see that pair also has versions 5.10.0, 5.10.,1, 5.14.1 and 5.16.2 installed. Let me see what I can do with that information.