Riding pillion means taking the rear seat on a motorcycle or horse. A number of sources on the web say it derives from the Latin word pellis, meaning 'animal hide,' via the Scots Gaelic pillean, meaning 'rug.'"Riding pillion with a powerful ally has proved costly in terms of British and US military lives, Iraqi lives, military expenditure, and the damage caused to the counter-terrorism campaign."
References:
dictionary.com
allwords.com