Couldn't find any sort of crash dump or anything, but running it from terminal gave some output:
Running Steam on linuxmint 18 64-bit
STEAM_RUNTIME is enabled automatically
/bin/bash: /home/david/.local/share/Steam/ubuntu12_32/steam-runtime/amd64/lib/x86_64-linux-gnu/libtinfo.so.5: no version information available (required by /bin/bash)
grepgrepgrep: : : symbol lookup errorsymbol lookup errorsymbol lookup error: : : grepgrepgrep: : : undefined symbol: pcre_jit_stack_allocundefined symbol: pcre_jit_stack_allocundefined symbol: pcre_jit_stack_alloc
awk: /home/david/.local/share/Steam/ubuntu12_32/steam-runtime/amd64/lib/x86_64-linux-gnu/libtinfo.so.5: no version information available (required by /lib/x86_64-linux-gnu/libreadline.so.6)
STEAM_RUNTIME is enabled automatically
/bin/bash: /home/david/.local/share/Steam/ubuntu12_32/steam-runtime/amd64/lib/x86_64-linux-gnu/libtinfo.so.5: no version information available (required by /bin/bash)
grepgrepgrep: : : symbol lookup errorsymbol lookup errorsymbol lookup error: : : grepgrepgrep: : : undefined symbol: pcre_jit_stack_allocundefined symbol: pcre_jit_stack_allocundefined symbol: pcre_jit_stack_alloc
awk: /home/david/.local/share/Steam/ubuntu12_32/steam-runtime/amd64/lib/x86_64-linux-gnu/libtinfo.so.5: no version information available (required by /lib/x86_64-linux-gnu/libreadline.so.6)