In some shuls that I have attended, they end the Cohen aliyah of Shabbat parshat Devarim one pasuk before the one where "Sheni" is marked (i.e. - they end it before pasuk 11 instead of 12).
I'm not sure what the reason for doing this is. I heard from someone that it's a "bad omen" to begin the aliyah with the word "Eicha" (at the start of pasuk 13) close to Tish'a B'Av.
I don't know if that reason is the real reason. It sounds a bit strange. The whole week we know we are within the 9 Days and we are aware of what 9 Av is about, and this is what we're concerned about so much to end an aliyah early?
Where did this minhag originate?