// On a mouse click...
glSelectBuffer(...);
glMatrixMode(GL_PROJECTION);
glPushMatrix();
   glRenderMode(GL_SELECT);
   glLoadIdentity();
   gluPickMatrix(...);
   gluPerspective(...);
   glInitNames();
   glPushName(0);

   // This part is taking a long time...
   RenderPickingScene(...);

   // determine what was clicked on
   hits = glRenderMode(GL_RENDER);
   ProcessesPickingHits(hits);

   glMatrixMode(GL_PROJECTION);
glPopMatrix();
glMatrixMode(GL_MODELVIEW);

void RenderPickingScene(...)
{
   glPushMatrix();
      glRotatef(ViewpointRotationX, -1.0f, 0.0f, 0.0f);
      glRotatef(ViewpointRotationY, 0.0f, -1.0f, 0.0f);
      glRotatef(ViewpointRotationZ, 0.0f, 0.0f, -1.0f);

      glTranslatef(-ViewpointPositionX, -ViewpointPositionY, -ViewpointPositionZ);

      glLoadName(...);

      // Draw the object(s)
      glPushMatrix();
         glTranslatef(ObjectPositionX, ObjectPositionY, ObjectPositionZ);

         glRotatef(ObjectRotationZ, 0.0f, 0.0f, 1.0f);
         glRotatef(ObjectRotationY, 0.0f, 1.0f, 0.0f);
         glRotatef(ObjectRotationX, 1.0f, 0.0f, 0.0f);

         glBindBufferARB(GL_ARRAY_BUFFER, VertexName);
         glVertexPointer(3, GL_FLOAT, 0, 0);

         glBindBufferARB(GL_ARRAY_BUFFER, ColorName);
         glColorPointer(4, GL_UNSIGNED_BYTE, 0, 0);

         glBindBufferARB(GL_ARRAY_BUFFER, NormalName);
         glNormalPointer(GL_FLOAT, 0, 0);

         glBindBufferARB(GL_ARRAY_BUFFER, TexCoordName);
         glTexCoordPointer(2, GL_FLOAT, 0, 0);

         // The object is just made up of quads
         glBindBufferARB(GL_ELEMENT_ARRAY_BUFFER, VBOName);
         glDrawRangeElements(GL_QUADS, 0, IndexCurrentSize, IndexCurrentSize, GL_UNSIGNED_INT, NULL);
          ^--- THIS FUNCTION TAKES NEARLY 1 SECOND

      glPopMatrix();

   glPopMatrix();
}