This was an interesting question. I passed this question to my spiritual fathers and friends and I got following answers from two of them. Whish I wish to share with you all
In HIS Love
Thomas Daniel (Reji)
From Very. Rev. Kuriakose Corepiscopa Moolayil
The SOC has provisions to reserve the Eucharist for emergencies and to take to the sick. It is a usual practice in the old churches in Malankara. I don't know about the tradtions in the middle east.
Kadavil Thirumeni (Metropolitan) mentions about this practice in his book, 'Eucharist Service' P.141 MASC edition.
Kuriakose Corepiscopa Moolayil
Director, Mor Adai Study Centre &
Vicar, St.George J.S.O.Church, Chicago.
From Dr. Thomas Joseph
Reji - The SOC in the Near East does have the tradition of keeping the Eucharist for emergencies. In fact many of their churches have a "Beth Qurbono" for this purpose in which the Eucharist is stored in a pyx. I am attaching a picture of the Beth Qurbono at St. Mark's, Hackensack, NJ.
Thomas Joseph, Ph.D.
Web Master, Syriac Orthodox Resources
Tech. Editor, Hugoye: Journal of Syriac Studies