LispWorks for Macintosh supports three different graphical interfaces. Most users choose the native Mac OS X GUI, but you can use the X11 GUI option instead, which supports both GTK+ and Motif. (Motif is deprecated, though.)
Different executables and supporting files are supplied for the two GUI options. You need to decide at installation time which of these you will use, or you can install support for both. If you install just one GUI option and later decide to install the other, you can simply run the installer again.
LispWorks for Macintosh Personal Edition supports only the native Mac OS X GUI.
LispWorks Release Notes and Installation Guide - 2 Mar 2015