Selwyn have never taken a headship (men's or women's) of either of the two bumps races. The Selwyn lower boats have had varying degrees of success over the years - the 3rd Men's VIII earned blades in both 2006 bumps, and more recently the 1st Women's VIII earned blades in the 2009 Lent Bumps.
In the early days of the Lent and May Bumps, Selwyn spent a lot of time in the 2nd division, but rose sharply from the mid-1920s, reaching 3rd in the May Bumps throughout the early 1930s and 2nd in the Lent Bumps in 1933. By 1958, Selwyn's 1st VIII had found its way back into the 2nd division. Selwyn once again gained 2nd place in the Lent Bumps in 1974 and 4th in the May Bumps in 1979, but has since fallen. The men's 1st VIII currently lies 17th in the Lent Bumps, and 22nd in the May Bumps.
A women's crew first appeared in 1977. The 1st women's VIII reached 3rd in the Lent Bumps by 1981 and the 1st women's IV reached 6th in the May Bumps in 1979. Since then, they've largely been confined to the lower half of the 1st division currently lying 17th in the Lent Bumps and 15th in the Mays.