webView.setOnLongClickListener(new View.OnLongClickListener() {

                @Override
                public boolean onLongClick(View view) {
                    android.webkit.WebView.HitTestResult result = webView.getHitTestResult();
                    String url = result.getExtra();
                    if (url != null) {
                        copyText(url);
                        Toast.makeText(MainActivity.this, "Ссылка успешно скопирована", Toast.LENGTH_SHORT).show();
                        return true;
                    }
                    return false;
                }

                @TargetApi(Build.VERSION_CODES.HONEYCOMB)
                private void copyText(String copiedText) {
                    int sdk = android.os.Build.VERSION.SDK_INT;
                    if(sdk < android.os.Build.VERSION_CODES.HONEYCOMB) {
                        android.text.ClipboardManager clipboard = (android.text.ClipboardManager) getBaseContext().getSystemService(Context.CLIPBOARD_SERVICE);
                        clipboard.setText(copiedText);
                    } else {
                        android.content.ClipboardManager clipboard = (android.content.ClipboardManager) getBaseContext().getSystemService(Context.CLIPBOARD_SERVICE);
                        android.content.ClipData clip = android.content.ClipData.newPlainText("TAG",copiedText);
                        clipboard.setPrimaryClip(clip);
                    }
                }
            });