If you want to listen to a remove event which is triggered by the 'X' on the link (JointJS calls these mouseover elements 'link-tool'):
You can pass an event to the SVG element, which will be triggered on your joint.dia.Paper, like this:
let link = new joint.dia.Link({
source: getLink(conn.source),
target: getLink(conn.target),
attr: {},
router: {name: 'metro'},
customAttr: {fullSource: conn.source, fullTarget: conn.target},
toolMarkup: [
'<g class="link-tool">',
'<g class="tool-remove" event="tool:remove">',
'<circle r="11" />',
'<path transform="scale(.8) translate(-16, -16)" d="M24.778,21.419 19.276,15.917 24.777,10.415 21.949,7.585 16.447,13.087 10.945,7.585 8.117,10.415 13.618,15.917 8.116,21.419 10.946,24.248 16.447,18.746 21.948,24.248z"/>',
'<title>Remove link.</title>',
'</g>',
'**<g event="link:options">**',
'<circle r="11" transform="translate(25)"/>',
'<path fill="white" transform="scale(.55) translate(29, -16)" d="M31.229,17.736c0.064-0.571,0.104-1.148,0.104-1.736s-0.04-1.166-0.104-1.737l-4.377-1.557c-0.218-0.716-0.504-1.401-0.851-2.05l1.993-4.192c-0.725-0.91-1.549-1.734-2.458-2.459l-4.193,1.994c-0.647-0.347-1.334-0.632-2.049-0.849l-1.558-4.378C17.165,0.708,16.588,0.667,16,0.667s-1.166,0.041-1.737,0.105L12.707,5.15c-0.716,0.217-1.401,0.502-2.05,0.849L6.464,4.005C5.554,4.73,4.73,5.554,4.005,6.464l1.994,4.192c-0.347,0.648-0.632,1.334-0.849,2.05l-4.378,1.557C0.708,14.834,0.667,15.412,0.667,16s0.041,1.165,0.105,1.736l4.378,1.558c0.217,0.715,0.502,1.401,0.849,2.049l-1.994,4.193c0.725,0.909,1.549,1.733,2.459,2.458l4.192-1.993c0.648,0.347,1.334,0.633,2.05,0.851l1.557,4.377c0.571,0.064,1.148,0.104,1.737,0.104c0.588,0,1.165-0.04,1.736-0.104l1.558-4.377c0.715-0.218,1.399-0.504,2.049-0.851l4.193,1.993c0.909-0.725,1.733-1.549,2.458-2.458l-1.993-4.193c0.347-0.647,0.633-1.334,0.851-2.049L31.229,17.736zM16,20.871c-2.69,0-4.872-2.182-4.872-4.871c0-2.69,2.182-4.872,4.872-4.872c2.689,0,4.871,2.182,4.871,4.872C20.871,18.689,18.689,20.871,16,20.871z"/>',
'<title>Link options.</title>',
'</g>',
'</g>'
].join('')
});
And then you can listen to exactly the "tool:remove", or however you called it, event:
paper.on('tool:remove', function(evt, linkView) {
console.log("Removing link" + linkView.model.id);
linkView.model.remove();
})