you should try
connect(signalmapper, SIGNAL(mapped(int)),this, SIGNAL(clickmee(int)));
I'm not sure if this is still allowed in Qt4 or Qt5, but it was valid in Qt3. It simply resends the signal signalmapper.mapped(x) to this.clickmee(x)
If this doesn't work, you should probably write a real slot, connect it to signalamapper.mapped and emit the clickmee there. Something like this:
public slots:
void clickmee_slot(int x) {
emit clickmee(x);
}
and in the constructor:
connect(signalmapper, SIGNAL(mapped(int)),this, SLOT(clickmee_slot(int)));